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Finding the Fourth Proportional to 474.70, 711.99 and 150.10

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Solution

The fourth proportional to 474.70, 711.99 and 150.10 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.70 : 711.99 = 150.10 : x
  2. Step 2: Convert to fraction form
    474.70/711.99 = 150.10/x
  3. Step 3: Cross multiply
    474.70x = 711.99 × 150.10
  4. Step 4: Simplify right side
    474.70x = 106,869.70
  5. Step 5: Solve for x
    x = 106,869.70/474.70
  6. Step 6: Final answer
    x = 225.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.